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What is the root of i? give all solutions

Z=cos(PI/4) +sin(Pi/4)
Z=cos(5PI/4) +sin(5Pi/4)

Answered by Rajan S. • Further Mathematics tutor

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Solve the second order differential equation d^2y/dx^2 - 4dy/dx + 5y = 15cos(x), given that when x = 0, y = 1 and when x = 0, dy/dx = 0

As we know, a general solution for a given differential equation is the complimentary solution + the particular solution/integral, this case is no different. To solve for the complimentary solution, form ...

Answered by Aryan G. • Further Mathematics tutor

2937 Views

A curve C has equation y = x^2 − 2x − 24 x^(1/2), x > 0. Find dy/dx and d^2y/dx^2. Verify that C has a stationary point when x = 4

Using the differentiation rule that d (Ax^b)/dx = Abx^(b-1) we find dy/dx = 2x -2 -12x^(-1/2).Similarly, taking care to see that the -2 term becomes zero since it is not dependent on x, we haved^2y/dx^2 =...

Answered by Alexa W. • Further Mathematics tutor

2003 Views

Find all square roots of the number 3 + 4i.

To start we need to set up the equation described by the question. Our answers should be in the form a + bi (where a and b are real), and since any answers are the root of 3 + 4i we can write down the fol...

Answered by • Further Mathematics tutor

2942 Views

Find the volume of revolution formed by rotating the curve y = sinx 2pie around the x- axis

To solve this problem we need a formula. Integral of y²dx multiplied by pie. First we square the questions of the curve we are given (sinx)². Next we apply double angle formula to r...

Answered by Anthony M. • Further Mathematics tutor

2302 Views